“20-20” Quantitative Aptitude | Crack SBI Clerk / IDBI Executive 2018 Day-74

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“20-20” Aptitude Questions | Crack SBI Clerk / IDBI Executive 2018 Day-74

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  1. The ages of A and B is in the ratio of 5: 7 respectively. After 5 years, the ages of A and B will be in the ratio of 3: 4. Find the difference between their present ages?
  1. 10 years
  2. 12 years
  3. 14 years
  4. 8 years
  5. None of these
  1. A certain sum is divided among A, B and C in such a way that A, B and C in such a way that A gets 80 more than one fourth of the sum. B gets 120 less than 3/5 of the sum and C gets Rs.280. What is the 125 ½ % of the total sum?
  1. 1224
  2. 1786
  3. 2112
  4. 2008
  5. None of these
  1. A and B started a business with an investment of 3600 and 5400 respectively. After 4 month, C joined with 4800. If the difference between C’s share and A’s share in the annual profit was 400. What was the 86% of total annual profit?
  1. 10492
  2. 9856
  3. 12364
  4. 8578
  5. None of these
  1. Two pipes A and B can fill a tank in 18 minutes and 24 minutes respectively. Both pipes are opened together and 3 minutes before the tank is filled completely, pipe B is closed. Calculate the total time required to fill the tank?
  1. 9 4/7 min
  2. 13 4/7 min
  3. 11 4/7 min
  4. 12 3/7 min
  5. None of these
  1. The ratio between cost price of three articles A, B and C is 2:3:4 while the profit percentage earned in these articles is in the ratio of 5:4:3 and profit earned on article C is Rs 300. If the cost price of article A is Rs 1000, find the selling price of article A
  1. Rs. 1500
  2. Rs. 1250
  3. Rs. 750
  4. Rs. 1000
  5. None of these

 

Directions (Q. 6 – 10): What approximate value should come in place of question mark (?) in the following questions?

  1. 57.01 % of 394 – 2.89 % of 996 =?
  1. 200
  2. 275
  3. 315
  4. 150
  5. 250
  1. 96.996 × 9.669 + 0.96 =?
  1. 814
  2. 752
  3. 923
  4. 971
  5. 855
  1. (3/5) of (1125/1228) × 7 =?
  1. 15
  2. 8
  3. 4
  4. 10
  5. 12
  1. (√321 × 25) ÷ 30 =?
  1. 15
  2. 10
  3. 18
  4. 24
  5. 26
  1. (638 + 9716 – 216) ÷ 26 =?
  1. 470
  2. 390
  3. 410
  4. 430
  5. 350

Directions (Q. 11 – 15): What value should come in place of question mark (?) in the following number series?

  1. 72, 72, 77, 55,?
  1. 178
  2. 96
  3. 134
  4. 112
  5. 88
  1. 216, 297, 387, 495, 630,?
  1. 801
  2. 756
  3. 913
  4. 875
  5. 738
  1. 792, 396, 264, 198,?
  1. 172
  2. 158.4
  3. 142.8
  4. 166
  5. 132.2
  1. 155, 78.5, 80.5, 165, ?
  1. 526
  2. 678
  3. 668
  4. 592
  5. 714
  1. 287, 318, 351, 389, 437, ?
  1. 502
  2. 475
  3. 523
  4. 537
  5. 486

Directions (Q. 16 – 20) Study the following table carefully and answer the given questions:

Following bar graph shows the profit % of 3 different companies in different years.

Profit = Income – Expenditure

Profit % = [(I – E)/ E]*100

  1. If the income of Company P in the year 2014 is 31.2 lakhs, then find the expenditure of that company?
  1. 28 lakhs
  2. 34 lakhs
  3. 30 lakhs
  4. 26 lakhs
  5. None of these
  1. The income of Company Q in the year 2012 is equal to the income of Company R in the year 2016. Find the ratio of expenditure of Company Q in the year 2012 to that of company R in the year 2016?
  1. 56 : 54
  2. 108 : 109
  3. 72 : 95
  4. 84 : 107
  5. None of these
  1. The expenditure of Company P in the year 2014 is Rs. 18 lakhs and the income of Company P in the year 2014 is same as the expenditure of Company R in the year 2016. Then find the income of Company R in the year 2016?
  1. 2021760
  2. 1954180
  3. 2315320
  4. 2542540
  5. None of these
  1. Average profit % of Company Q in all the given years is approximately what percentage of average profit % of Company R in all the given years?
  1. 96 %
  2. 88 %
  3. 74 %
  4. 102 %
  5. None of these
  1. The expenditure of Company P and Q in the year 2016 is in the ratio of 3: 4. Then find the ratio of income of Company P and Q in that year?
  1. 215 : 324
  2. 142 : 263
  3. 339 : 424
  4. 345 : 477
  5. None of these

Answers:

  1. Answer a

Present age of A and B is in the ratio = 5: 7(5x, 7x)

After 5 years, the ratio will be = 3: 4

(5x +5)/(7x+5) = ¾

20x + 20 = 21x + 15

X = 5

Present ages are, 25 and 35

The difference = 35 – 25 = 10

  1. Answer d

Total sum =X= A+B+C

A= X/4 + 80

B= 3X/5 -120

C=280

Total sum(X) = (X/4) +80+ (3X/5)-120+280

X= (5X+12X)/20 + 240

X – (17X/20) = 240

3X/20 = 240

X = 1600

125 ½ % of the total sum

= > 1600*(251/200) = 2008

  1. Answer a

The share of A, B and C = [3600*12] : [5400*12] : [4800*8]

= > 18 : 27 : 16

The difference between C’s share and A’s share in the annual profit was 400,

(18’s – 16’s) = 400

2’s = 400

1’s = 200

Total profit = 61’s = 61*200 = 12200

86 % of total profit = 12200*(86/100) = 10492

  1. Answer c

Let total capacity=72 liters (LCM of 18 and 24)

A = 4 units

B = 3 units

Let us take total time taken to fill an empty tank be x minutes

Given,

4x+3(x-3) = 72

7x-9 = 72

=>7x =81

=>x= 11 4/7 minutes

  1. Answer b

Cost price article C = 1000*4/2= Rs 2000

Profit percentage earned on article C= 300*100/2000= 15%

Percentage profit earned in article A= 15*5/3= 25%

Profit earned in article A= 1000*25/100= Rs. 250

Selling price of article A= 1000+250= Rs. 1250

 

Directions (Q. 6 – 10):

  1. Answer a

(57/100)* 400 – (3/100)* 1000 = x

X = 228 – 30 = 198

X = 200

  1. Answer d

97 * 10 + 1 = x

X = 970 + 1

X = 971

  1. Answer c

(3/5) * (1125/1228) *7 = x

X = 4

  1. Answer a

(18 * 25) / 30 = x

X = 15

  1. Answer b

(638 + 9716 – 216) ÷ 26 = x

X = 10138/26

X = 390

 

Directions (Q. 11 – 15):

  1. Answer d

The pattern is, – (13 -1), + (23 -1), – (33 -1), + (43 -1)…

The answer is, 112

  1. Answer a

The difference of difference is, 9, 18, 27, 36…

The answer is, 801

  1. Answer b

The pattern is, *(1/2), *(2/3), *(3/4), *(4/5)…

The answer is, 158.4

  1. Answer c

The pattern is, *0.5 + 1, *1 + 2, *2 + 4, *4 + 8,..

The answer is, 668

  1. Answer a

The difference of difference is, 12 + 1, 22 + 1, 32 + 1, 42 + 1….

The answer is, 502

 

Directions (Q. 16 – 20)

  1. Answer c

The income of Company P in the year 2014 = 31.2 lakhs

Profit % = 4 %

According to the question,

4 = [(31.2 – E)/E]*100

104E = 3120

E = 3120/104 = 30 lakhs

  1. Answer b

Let the income of Company Q in the year 2012 is equal to the income of Company R in the year 2016 be x,

Expenditure of Company Q in the year 2012,

= > 9 = [(x-E)/E]*100

= > 109E = x

= > E = x/109

Expenditure of Company R in the year 2016,

= > 8 = [(x-E)/E]*100

= > 108E = x

= > E = x/108

Required ratio = (x/109) : (x/108) = 108 : 109

  1. Answer a

The expenditure of Company P in the year 2014 = Rs. 18 lakhs

= > 4 = [I – 18/18]*100

= > 72 = 100I – 1800

= > 1872 = 100I

= > I = 1872/100 = 18.72 lakhs

So, the expenditure of Company R in the year 2016 = 18.72 lakhs

Income of Company R in the year 2016,

= > 8 = [(I – 18.72)/18.72]*100

= > 149.76 = 100I – 1872

= > 2021.76 = 100I

= > I = 20.2176 lakhs = 2021760

  1. Answer d

Average profit % of Company Q in all the given years

= > (9 + 5 + 12 + 11 + 6 + 8)/6

= > (51/6) %

Average profit % of Company R in all the given years

= > (11 + 9 + 8 + 9 + 8 + 5)/6

= > (50/6) %

Required % = [(51/6)/ (50/6)]*100 = 102 %

  1. Answer c

The expenditure of Company P and Q in the year 2016 = 3: 4(3x, 4x)

The income of company P in the year 2016

= > 13 = [(I1 – 3x)/3x]*100

= > 39x = 100I1 – 300x

= > 339x = 100I1

= > I1 = 339x/100

The income of company Q in the year 2016

= > 6 = [(I2– 4x)/4x]*100

= > 24x = 100I2 – 400x

= > 424x = 100I2

= > I­2 = 424x/100

Required ratio = (339x/100) : (424x/100) = 339 : 424

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Topic Daily Publishing Time
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Logical Reasoning 10.00 AM
Quantitative Aptitude “20-20” 11.00 AM
Vocabulary (Based on The Hindu) 12.00 PM
Static GK Quiz 1.00 PM
English Language “20-20” 2.00 PM
Banking Awareness Quiz 3.00 PM
Reasoning Puzzles & Seating 4.00 PM
Daily Current Affairs Updates 5.00 PM
Data Interpretation / Application Sums (Topic Wise) 6.00 PM
Reasoning Ability “20-20” 7.00 PM
English Language (New Pattern Questions) 8.00 PM
General / Financial Awareness Quiz 9.00 PM 

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